p^2+8p+11=-4

Solution for p^2+8p+11=-4 equation:

Simplifying
p2 + 8p + 11 = -4

Reorder the terms:
11 + 8p + p2 = -4

Solving
11 + 8p + p2 = -4

Solving for variable 'p'.

Reorder the terms:
11 + 4 + 8p + p2 = -4 + 4

Combine like terms: 11 + 4 = 15
15 + 8p + p2 = -4 + 4

Combine like terms: -4 + 4 = 0
15 + 8p + p2 = 0

Factor a trinomial.
(5 + p)(3 + p) = 0

Subproblem 1
Set the factor '(5 + p)' equal to zero and attempt to solve:

Simplifying
5 + p = 0

Solving
5 + p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + p = 0 + -5
p = 0 + -5

Combine like terms: 0 + -5 = -5
p = -5

Simplifying
p = -5
Subproblem 2
Set the factor '(3 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

Solving
3 + p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + p = 0 + -3
p = 0 + -3

Combine like terms: 0 + -3 = -3
p = -3

Simplifying
p = -3
Solution
p = {-5, -3}